Finite Group Databasebeta

← Group #1921

Character table — Group #1921

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size11111111222222224444444444444444448888
order12222222444444444444444444888888884444
χ111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ41111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-11-1-1-111-1ii−i−i1-1ii−i−ii−i11-1-111-1-1ii−i−ii−i1-1
χ1011-11-1-1-111-1ii−i−i1-1ii−i−ii−i11-1-1-1-111−i−iii−ii-11
χ1111-11-1-1-111-1ii−i−i1-1−i−iiii−i-1-11111-1-1ii−i−i−ii-11
χ1211-11-1-1-111-1ii−i−i1-1−i−iiii−i-1-111-1-111−i−iiii−i1-1
χ1311-11-1-1-111-1−i−iii1-1ii−i−i−ii-1-11111-1-1−i−iiii−i-11
χ1411-11-1-1-111-1−i−iii1-1ii−i−i−ii-1-111-1-111ii−i−i−ii1-1
χ1511-11-1-1-111-1−i−iii1-1−i−iii−ii11-1-111-1-1−i−iii−ii1-1
χ1611-11-1-1-111-1−i−iii1-1−i−iii−ii11-1-1-1-111ii−i−ii−i-11
χ1722222222-2-22222-2-20000-2-20000000000000000
χ1822222222-2-2-2-2-2-2-2-20000220000000000000000
χ19222-22-2-2-2002-22-20000000000002−22−22−22−20000
χ20222-22-2-2-2002-22-2000000000000−22−22−22−220000
χ21222-22-2-2-200-22-220000000000002−22−2−22−220000
χ22222-22-2-2-200-22-22000000000000−22−222−22−20000
χ2322-22-2-2-22-222i2i−2i−2i-220000−2i2i0000000000000000
χ2422-22-2-2-22-22−2i−2i2i2i-2200002i−2i0000000000000000
χ2522-2-2-222-2002i−2i−2i2i0000000000002−2−22i2−i2−i2i20000
χ2622-2-2-222-2002i−2i−2i2i000000000000−222−2−i2i2i2−i20000
χ2722-2-2-222-200−2i2i2i−2i0000000000002−2−22−i2i2i2−i20000
χ2822-2-2-222-200−2i2i2i−2i000000000000−222−2i2−i2−i2i20000
χ292-222-22-2-2220000-2-22-22-2000000000000000000
χ302-222-22-2-2220000-2-2-22-22000000000000000000
χ312-222-22-2-2-2-20000220000002i−2i2i−2i000000000000
χ322-222-22-2-2-2-2000022000000−2i2i−2i2i000000000000
χ332-2-222-22-22-20000-222i−2i−2i2i000000000000000000
χ342-2-222-22-22-20000-22−2i2i2i−2i000000000000000000
χ352-2-222-22-2-2200002-20000002i−2i−2i2i000000000000
χ362-2-222-22-2-2200002-2000000−2i2i2i−2i000000000000
χ374-44-4-4-444000000000000000000000000000000
χ384-4-4-444-44000000000000000000000000000000

Here i is the imaginary unit (i² = −1).